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<p>In this paper, a novel distributed interval observer is designed for a continuous-time linear time-invariant system, making the interval estimation on the system state has less order than the traditional distributed interval observer. For these objectives, a time-shift operation has been done to the existing bivariate feedthrough nonasymptotic kernel (BF-NK) function to get the so-called time-shift quasi bivariate feedthrough nonasymptotic kernel (Quasi-BF-NK) function. With this time-shift Quasi-BF-NK function, a distributed interval observer can be designed and the order of it is 1, not the four times of the system dimension as the existing results. Finally, numerical simulations are provided to verify the main results.</p>

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Time-shift Quasi-BF-NK and its Application to Distributed Interval Observer Design

  • 期刊论文

  • 发表日期：

    2025年11月2日

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  • Liu Liu,
  • Yang-Jiahao Kang,
  • Xiaoling Wang,
  • Housheng Su

摘要

In this paper, a novel distributed interval observer is designed for a continuous-time linear time-invariant system, making the interval estimation on the system state has less order than the traditional distributed interval observer. For these objectives, a time-shift operation has been done to the existing bivariate feedthrough nonasymptotic kernel (BF-NK) function to get the so-called time-shift quasi bivariate feedthrough nonasymptotic kernel (Quasi-BF-NK) function. With this time-shift Quasi-BF-NK function, a distributed interval observer can be designed and the order of it is 1, not the four times of the system dimension as the existing results. Finally, numerical simulations are provided to verify the main results.